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Miyawaki lift
In mathematics, the Miyawaki lift or Ikeda–Miyawaki lift or Miyawaki–Ikeda lift takes two Siegel modular forms to another Siegel modular form. conjectured the existence of this lift for the case of degree 3 Siegel modular forms, and proved its existence in some cases using the Ikeda lift.
Ikeda's construction starts with a Siegel modular form of degree 1 and weight 2''k'', and a Siegel cusp form of degree ''r'' and weight ''k'' + ''n'' + ''r'' and constructs a Siegel form of degree 2''n'' + ''r'' and weight ''k'' + ''n'' + ''r''. The case when ''n'' = ''r'' = 1 was conjectured by Miyawaki. Here ''n'', ''k'', and ''r'' are non-negative integers whose sum is even.
==References==
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抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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